263785987201 has 9 divisors (see below), whose sum is σ = 289952791009. Its totient is φ = 239800306900.

The previous prime is 263785987193. The next prime is 263785987237. The reversal of 263785987201 is 102789587362.

It is a happy number.

The square root of 263785987201 is 513601.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 263785987201 - 2³ = 263785987193 is a prime.

It is a super-2 number, since 2×263785987201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263785987901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5626266 + ... + 5672956.

Almost surely, 2^263785987201 is an apocalyptic number.

263785987201 is the 513601-st square number.

263785987201 is the 256801-st centered octagonal number.

It is an amenable number.

263785987201 is a deficient number, since it is larger than the sum of its proper divisors (26166803808).

263785987201 is an frugal number, since it uses more digits than its factorization.

263785987201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93404 (or 46702 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 263785987201 in words is "two hundred sixty-three billion, seven hundred eighty-five million, nine hundred eighty-seven thousand, two hundred one".